How to Solve Permutations I V Problem
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Permutations IV
Given two integers, n and k, an alternating permutation is a permutation of the first n positive integers such that no two adjacent elements are both odd or both even. Return the k-th alternating perm...
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Understanding the Permutations I V Problem
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Problem Statement
Given two integers, n and k, an alternating permutation is a permutation of the first n positive integers such that no two adjacent elements are both odd or both even. Return the k-th alternating permutation sorted in lexicographical order. If there are fewer than k valid alternating permutations, return an empty list.
Permutations IV
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Examples
n = 4, k = 6[3,4,1,2]The lexicographically-sorted alternating permutations of [1, 2, 3, 4] are: [1, 2, 3, 4] [1, 4, 3, 2] [2, 1, 4, 3] [2, 3, 4, 1] [3, 2, 1, 4] [3, 4, 1, 2] ← 6th permutation [4, 1, 2, 3] [4, 3, 2, 1] Since k = 6, we return [3, 4, 1, 2].
n = 3, k = 2[3,2,1]The lexicographically-sorted alternating permutations of [1, 2, 3] are: [1, 2, 3] [3, 2, 1] ← 2nd permutation Since k = 2, we return [3, 2, 1].
n = 2, k = 3[]The lexicographically-sorted alternating permutations of [1, 2] are: [1, 2] [2, 1] There are only 2 alternating permutations, but k = 3, which is out of range. Thus, we return an empty list [].
Constraints
1 <= n <= 1001 <= k <= 1015How Interview Coder Helps with Leetcode Problems
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